Results 21 to 30 of about 332 (52)

Dichotomy property for maximal operators in non-doubling setting

, 2019
We investigate a dichotomy property for Hardy--Littlewood maximal operators, non-centered $M$ and centered $M^c$, that was noticed by Bennett, DeVore and Sharpley. We illustrate the full spectrum of possible cases related to the occurrence or not of this
Kosz, Dariusz
core   +1 more source

Characterizations of Urysohn universal ultrametric spaces

Analysis and Geometry in Metric Spaces
In this article, using the existence of infinite equidistant subsets of closed balls, we first characterize the injectivity of ultrametric spaces for finite ultrametric spaces. This method also gives characterizations of the Urysohn universal ultrametric
Ishiki Yoshito
doaj   +1 more source

Some remarks on generalized roundness

, 2007
By using the links between generalized roundness, negative type inequalities and equivariant Hilbert space compressions, we obtain that the generalized roundness of the usual Cayley graph of finitely generated free groups and free abelian groups of rank $
Jaudon, Ghislain
core   +2 more sources

Isospectral Alexandrov Spaces

, 2013
We construct the first non-trivial examples of compact non-isometric Alexandrov spaces which are isospectral with respect to the Laplacian and not isometric to Riemannian orbifolds. This construction generalizes independent earlier results by the authors
Engel, Alexander, Weilandt, Martin
core   +1 more source

Uniform estimates of nonlinear spectral gaps [PDF]

, 2015
By generalizing the path method, we show that nonlinear spectral gaps of a finite connected graph are uniformly bounded from below by a positive constant which is independent of the target metric space. We apply our result to an $r$-ball $T_{d,r}$ in the
Kondo, Takefumi, Toyoda, Tetsu
core  

Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets

, 2013
We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.Comment: 19 ...
Pedersen, Steen, Phillips, Jason D.
core   +1 more source

Gromov-Hausdorff limits of closed surfaces

Analysis and Geometry in Metric Spaces
We completely describe the Gromov-Hausdorff closure of the class of length spaces being homeomorphic to a fixed closed surface.
Dott Tobias
doaj   +1 more source

Diversities and the Generalized Circumradius. [PDF]

Discrete Comput Geom, 2023
Bryant D, Huber KT, Moulton V, Tupper PF.   +3 more
europepmc   +1 more source

The Minimal Spherical Dispersion. [PDF]

J Geom Anal
Prochno J, Rudolf D.
europepmc   +1 more source

Divergence of separated nets with respect to displacement equivalence. [PDF]

Geom Dedic
Dymond M, Kaluža V.
europepmc   +1 more source